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Finding the Fourth Proportional to 7,214.08, 10,825.98 and 2,831.02

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Solution

The fourth proportional to 7,214.08, 10,825.98 and 2,831.02 is: 4,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.08 : 10,825.98 = 2,831.02 : x
  2. Step 2: Convert to fraction form
    7,214.08/10,825.98 = 2,831.02/x
  3. Step 3: Cross multiply
    7,214.08x = 10,825.98 × 2,831.02
  4. Step 4: Simplify right side
    7,214.08x = 30,648,565.90
  5. Step 5: Solve for x
    x = 30,648,565.90/7,214.08
  6. Step 6: Final answer
    x = 4,248.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.